<p>A rectangular box is constructed from ten square tiles each of which has a perimeter of 24 centimeters. If the box is formed so that the tiles do not overlap what is the volume of the box in cubic centimeters?</p>
<p>A) 432
B) 288
C) 240
D) 216
E) 36</p>
<p>How do i approach this problem?</p>
<p>I mean i know its asking for the volume so LX W X H. So i did 6 x 6 x 6...but obviously i knew that was wrong since it was way too easy for this type of problem...</p>
<p>so can anyone explain me this</p>
<hr>
<p>also i had a another question</p>
<p>Points L, M, and N Li in a plane. If the distance between L and M is 4, and this distance between M and N is 9 which of teh following could be the distance between L and N?</p>
<p>I : 5
II: 8
III: 12</p>
<p>A) I only
B) II only
C) III only
D) I and III
E) I, II, and III</p>
<p>This isn't worded 100% clearly, but assuming it's a closed rectangular box: You know each tile is a 6 by 6 square (for a perimeter of 24, which u got). To make a box, try to visualize this: You lay two tiles down next to each other flat on the ground for a base of 12 (the length of two boxes) by 6. then, put 2 on each side standing up to use four tiles. then put two tiles standing up to form the othof er side, and one on the remaining side (the 6 by 6) to close the box. </p>
<p>if l and m consistute one side, for 4 and m and n for 9, using the triangle inequality theoreom-- all sides must be greater than the sum of the two, or in other words: the third side must be greater than the difference between the other two and less than their sum:</p>
<p>5<x<13. 12 and 8 are between these values, so they can be additional side lengths.</p>
<p>Wait a sec if the sides are 4 and 9 (given from the problem) and following that theorem if u add 5 to 4 = 9 which IS NOT GREATER THAN THE OTHER SIDE..ITS EQUAL TO IT..???</p>
<p>This isn't worded 100% clearly, but assuming it's a closed rectangular box: You know each tile is a 6 by 6 square (for a perimeter of 24, which u got). To make a box, try to visualize this: You lay two tiles down next to each other flat on the ground for a base of 12 (the length of two boxes) by 6. then, put 2 on each side standing up to use four tiles. then put two tiles standing up to form the othof er side, and one on the remaining side (the 6 by 6) to close the box.</p>
<p>those dimensions are 12 by 6 by 6, or 432."</p>
<p>Yeah, that's what I got. You need to have 1x1x2 tiles to get a closed box, so that's 6x6x12...</p>
<p>I thought I'd provide a picture for visual aid:</p>
<p>"Wait a sec if the sides are 4 and 9 (given from the problem) and following that theorem if u add 5 to 4 = 9 which IS NOT GREATER THAN THE OTHER SIDE..ITS EQUAL TO IT..???"</p>
<p>No. The sides fo the triangle could be:
12, 4, and 9
or
8, 4, and 9.</p>
